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Finding the Third Proportional to 395,523 and 819,072

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Solution

The third proportional to 395,523 and 819,072 is: 1,696,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,523 : 819,072 = 819,072 : x
  2. Step 2: Convert to fraction form
    395,523/819,072 = 819,072/x
  3. Step 3: Cross multiply
    395,523x = 819,072 × 819,072
  4. Step 4: Simplify right side
    395,523x = 670,878,941,184
  5. Step 5: Solve for x
    x = 670,878,941,184/395,523
  6. Step 6: Final answer
    x = 1,696,181.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.